How small can a compressed file containing the human genome be? I'm aware that this question cannot actually be answered, since it is asking for the Kolmogorov complexity of the human genome, which is not computable. So reformulating: What is the largest known lower bound that we can put on the size of a file containing the human genome?
An example answer could be: on average we know that the human genome contain at least this amount X of randomness, therefore it is not possible to do better than Y bytes.
I'm agnostic on which human genome, but I would say without polymorphisms to make it simpler.
The compressed sequence would need to be stand alone, without using a reference (I asked a question on that topic here: Compressing the human genome to few megabytes).
There should be a program able to compress and decompress the genome in a lossless way. Apart from that, any kind of modelling and coding is allowed.